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Simplifying 4x5 + -1x3 + -5x = 0 Reorder the terms: -5x + -1x3 + 4x5 = 0 Solving -5x + -1x3 + 4x5 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-5 + -1x2 + 4x4) = 0 Factor a trinomial. x((-1 + -1x2)(5 + -4x2)) = 0Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(-1 + -1x2)' equal to zero and attempt to solve: Simplifying -1 + -1x2 = 0 Solving -1 + -1x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -1x2 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1x2 = 0 + 1 -1x2 = 0 + 1 Combine like terms: 0 + 1 = 1 -1x2 = 1 Divide each side by '-1'. x2 = -1 Simplifying x2 = -1 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(5 + -4x2)' equal to zero and attempt to solve: Simplifying 5 + -4x2 = 0 Solving 5 + -4x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -4x2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -4x2 = 0 + -5 -4x2 = 0 + -5 Combine like terms: 0 + -5 = -5 -4x2 = -5 Divide each side by '-4'. x2 = 1.25 Simplifying x2 = 1.25 Take the square root of each side: x = {-1.118033989, 1.118033989}Solution
x = {0, -1.118033989, 1.118033989}
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